1
GATE ECE 2015 Set 3
Numerical
+1
-0
The variance of the random variable $$X$$ with probability density function $$\,f\left( x \right) = {1 \over 2}\left| x \right|{e^{ - \left| x \right|}}\,\,$$ is ___________.
2
GATE ECE 2015 Set 1
+1
-0.3
Suppose $$A$$ & $$B$$ are two independent events with probabilities $$P\left( A \right) \ne 0$$ and $$P\left( B \right) \ne 0.$$ Let $$\overrightarrow A$$ & $$\overrightarrow B$$ be their complements. Which of the following statements is FALSE?
A
$$P\left( {A \cap B} \right) = P\left( A \right)P\left( B \right)$$
B
$$P\left( {A/B} \right) = P\left( A \right)$$
C
$$P\left( {A \cup B} \right) = P\left( A \right) + P\left( B \right)$$
D
$$P\left( {\overrightarrow A \cap \overrightarrow B } \right) = P\left( {\overrightarrow A } \right).P\left( {\overrightarrow B } \right)$$
3
GATE ECE 2014 Set 4
Numerical
+1
-0
Let $$X$$ be a zero mean unit variance Gaussian random variable. $$E\left[ {\left| X \right|} \right]$$ is equal to ______
4
GATE ECE 2014 Set 4
+1
-0.3
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier of future calls, the probability distribution function of the total number of calls in a fixed time interval will be
A
Poisson
B
Gaussian
C
Exponential
D
Gamma
EXAM MAP
Medical
NEET